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  22. <a href="#" id="menu-submit"><span></span>Menu</a></div></div></div></div></div></div></div></header><main id="main" role="main"><div class="section-wrapper cf"><div class="section-wrapper-content cf"><section class="section default-01 design-01 wsection-white"><div class="section-bg"><div class="section-bg-layer"></div><div class="section-bg-layer section-bg-overlay"></div></div><div class="section-inner"><div class="content cf wnd-no-cols"><div><div class="text cf design-01"><div class="container"><div class="vc_row vc_row-fluid boxed"><div class="wpb_column vc_column_container vc_col-sm-12"><div class="vc_column-inner "><div class="wpb_wrapper"><div class="wpb_text_column wpb_content_element " ><div class="wpb_wrapper"><h1 style="text-align: center;"><span style="font-weight: 400; color: #ff0000;">Basic Signal processing</span></h1><h3 style="text-align: left;"><span style="color: #000000;">What is Basic Signal Processing?</span></h3><p><span style="font-weight: 400;">Signal Processing refers to any kind of </span><b>modification</b><span style="font-weight: 400;"> or </span><b>analysis</b><span style="font-weight: 400;"> of a </span><b>signal</b><span style="font-weight: 400;">. These processing techniques are used to improve the efficiency of the system. Signal processing has applications in nearly every field of life, but before we get into that, let us define signal. </span></p><p><span style="font-weight: 400;">A signal is an </span><b>electrical</b> <b>impulse</b><span style="font-weight: 400;"> or a </span><b>wave</b><span style="font-weight: 400;"> that </span><b>carries</b> <b>information</b><span style="font-weight: 400;">. This refers to the changing currents, or voltages, or <a href="https://www.ssla.co.uk/">electromagnetic</a> waves that transmit data at any point in electrical systems. Let us briefly go through its types</span></p><h3 style="text-align: left;"><span style="color: #000000;">Basic Signal Processing type of signals</span></h3><p><span style="font-weight: 400;">Basically, there are two types of signals</span></p><ul><li style="font-weight: 400;"><span style="font-weight: 400;">Analog: </span><span style="font-weight: 400;">Analog signal is a </span><b style="font-size: 1rem;">continuous time-varying signal</b><span style="font-weight: 400;"> that has an </span><b style="font-size: 1rem;">infinite</b><span style="font-weight: 400;"> amount of </span><b style="font-size: 1rem;">samples</b><span style="font-weight: 400;"> in it. These analog signals are further divided into composite and simple analog signals. Sinusoidal waves being simple analog signals and all the others, composite signals, are made from the combination of multiple variants of simple sinusoidal waves.</span></li><li style="font-weight: 400;"><span style="font-weight: 400;">Digital : </span><span style="font-weight: 400;">Digital signals also carry data just like analog signals, but in the case of digital signals, these values are discrete. It represents data in the form of a</span><b style="font-size: 1rem;"> discrete sequence of values</b><span style="font-weight: 400;"> and is defined by </span><b style="font-size: 1rem;">interval</b><span style="font-weight: 400;"> or the </span><b style="font-size: 1rem;">bit rate</b><span style="font-weight: 400;">. The digital signals thus contain a set of numbers that depict the samples of a continuous variable.</span></li></ul><h3><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMDAiIGhlaWdodD0iMjA1IiB2aWV3Qm94PSIwIDAgMzAwIDIwNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=" fetchpriority="high" decoding="async" class="alignnone size-medium wp-image-8157" style="font-size: 1rem;" data-src="https://www.ssla.co.uk/wp-content/uploads/2020/09/analog-signal-300x205.png" alt="analog signal" width="300" height="205" data-srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/analog-signal-300x205.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/analog-signal.png 496w" data-sizes="(max-width: 300px) 100vw, 300px" /><noscript><img fetchpriority="high" decoding="async" class="alignnone size-medium wp-image-8157" style="font-size: 1rem;" src="https://www.ssla.co.uk/wp-content/uploads/2020/09/analog-signal-300x205.png" alt="analog signal" width="300" height="205" srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/analog-signal-300x205.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/analog-signal.png 496w" sizes="(max-width: 300px) 100vw, 300px" /></noscript></h3><p>&nbsp;</p><p><span style="font-weight: 400;">The picture above represents the same signal in both analog and digital form. Note that the edges in the digital signal repre</span><span style="font-size: 1rem;">sent the point at which the sample was taken. </span></p><p><span style="font-weight: 400;">Now let us move towards </span><span style="font-size: 1rem;">some basic signal processing techniques.  </span></p><h3><span style="font-weight: 400;">Basic Operations in Signal Processing</span></h3><ul><li style="font-weight: 400;"><span style="font-weight: 400;">Addition: </span>The addition in signal is quite similar to the traditional mathematical addition. In order to add two signals together, we add the amplitude of both present at the same timestamp. Mathematically, if one signal is X<span style="font-weight: 400;">1</span><span style="font-weight: 400;">(t) and the other is X</span><span style="font-weight: 400;">2</span><span style="font-weight: 400;">(t), then the result will be denoted by </span></li></ul><p><b>Output = X</b><b>1</b><b>(t) + X</b><b>2</b><b>(t)</b></p><h3 style="padding-top: 0px;"><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMDAiIGhlaWdodD0iMTY1IiB2aWV3Qm94PSIwIDAgMzAwIDE2NSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=" decoding="async" class="alignnone size-medium wp-image-8158" style="font-size: 1rem;" data-src="https://www.ssla.co.uk/wp-content/uploads/2020/09/basic-signal-processing-square-wave-300x165.png" alt="basic signal processing" width="300" height="165" data-srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/basic-signal-processing-square-wave-300x165.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/basic-signal-processing-square-wave-600x331.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/basic-signal-processing-square-wave.png 735w" data-sizes="(max-width: 300px) 100vw, 300px" /><noscript><img decoding="async" class="alignnone size-medium wp-image-8158" style="font-size: 1rem;" src="https://www.ssla.co.uk/wp-content/uploads/2020/09/basic-signal-processing-square-wave-300x165.png" alt="basic signal processing" width="300" height="165" srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/basic-signal-processing-square-wave-300x165.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/basic-signal-processing-square-wave-600x331.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/basic-signal-processing-square-wave.png 735w" sizes="(max-width: 300px) 100vw, 300px" /></noscript></h3><p><span style="font-weight: 400;">The figure below demonstrates the addition of the two signals </span></p><ul><li style="font-weight: 400;"><span style="font-weight: 400;">Subtraction : </span>The subtraction of two signals is similar to addition. We just subtract the amplitude of the second signal from the first one. <a href="https://www.ssla.co.uk/about-us/">Mathematically</a>, if one signal is X<span style="font-weight: 400;">1</span><span style="font-weight: 400;">(t) and the other is X</span><span style="font-weight: 400;">2</span><span style="font-weight: 400;">(t), then the resultant will be denoted by </span></li></ul><p><b>Output = X</b><b>1</b><b>(t) &#8211; X</b><b>2</b><b>(t)</b></p><p><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMDAiIGhlaWdodD0iMTY0IiB2aWV3Qm94PSIwIDAgMzAwIDE2NCI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=" decoding="async" class="alignnone size-medium wp-image-8168" data-src="https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-substraction-300x164.png" alt="signal substraction" width="300" height="164" data-srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-substraction-300x164.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-substraction-600x328.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-substraction.png 736w" data-sizes="(max-width: 300px) 100vw, 300px" /><noscript><img decoding="async" class="alignnone size-medium wp-image-8168" src="https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-substraction-300x164.png" alt="signal substraction" width="300" height="164" srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-substraction-300x164.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-substraction-600x328.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-substraction.png 736w" sizes="(max-width: 300px) 100vw, 300px" /></noscript></p><p><span style="font-weight: 400;">The image above shows the subtraction of the same signals used in the addition example. Note that the pattern looks quite similar, but the edges are different. This is because the amplitude, in this case, is subtracted. </span></p><ul><li style="font-weight: 400;"><span style="font-weight: 400;">Sampling : </span><span style="font-weight: 400;">Sampling is the most fundamental technique used in signal processing. It is used to </span><b style="font-size: 1rem;">reduce</b><span style="font-weight: 400;"> the </span><b style="font-size: 1rem;">sample</b> <b style="font-size: 1rem;">size</b><span style="font-weight: 400;"> of a given signal, and you can also change an </span><b style="font-size: 1rem;">analog</b><span style="font-weight: 400;"> signal </span><b style="font-size: 1rem;">to</b><span style="font-weight: 400;"> a </span><b style="font-size: 1rem;">digital</b><span style="font-weight: 400;"> signal using sampling. In sampling, we </span><b style="font-size: 1rem;">measure</b><span style="font-weight: 400;"> the </span><b style="font-size: 1rem;">instantaneous value</b><span style="font-weight: 400;"> of the input signal </span><b style="font-size: 1rem;">after</b><span style="font-weight: 400;"> each interval. This interval also determines the sampling frequency of the system.</span></li></ul><p><span style="font-weight: 400;"> For example, if we consider the previous signal, we can sample it by taking values at a certain point in time. This will convert the signal into a discrete form also known as <a href="https://www.ssla.co.uk/buy">digital</a> form as shown in the picture</span></p><p><span style="font-weight: 400;"><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMDAiIGhlaWdodD0iMTk3IiB2aWV3Qm94PSIwIDAgMzAwIDE5NyI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=" decoding="async" class="alignnone size-medium wp-image-8160" data-src="https://www.ssla.co.uk/wp-content/uploads/2020/09/sampling-300x197.png" alt="sampling" width="300" height="197" data-srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/sampling-300x197.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/sampling.png 516w" data-sizes="(max-width: 300px) 100vw, 300px" /><noscript><img decoding="async" class="alignnone size-medium wp-image-8160" src="https://www.ssla.co.uk/wp-content/uploads/2020/09/sampling-300x197.png" alt="sampling" width="300" height="197" srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/sampling-300x197.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/sampling.png 516w" sizes="(max-width: 300px) 100vw, 300px" /></noscript></span></p><p><span style="font-weight: 400;">Note that the dotted line in the sampled signal there only represents the original wave.</span></p><ul><li style="font-weight: 400;"><span style="font-weight: 400;">Time Shifting: </span><span style="font-weight: 400;">Time-shifting refers to the </span><b style="font-size: 1rem;">movement</b><span style="font-weight: 400;"> of the signal </span><b style="font-size: 1rem;">along</b><span style="font-weight: 400;"> the </span><b style="font-size: 1rem;">horizontal axis</b><span style="font-weight: 400;">. Time-shifting does not change a signal’s attribute; it just changes its origin. Let us consider the following signal,</span></li></ul><p><span style="font-weight: 400;"><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMDAiIGhlaWdodD0iMTU2IiB2aWV3Qm94PSIwIDAgMzAwIDE1NiI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=" decoding="async" class="alignnone size-medium wp-image-8161" data-src="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-graph-300x156.png" alt="time shifting graph" width="300" height="156" data-srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-graph-300x156.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-graph-768x399.png 768w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-graph-600x311.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-graph.png 867w" data-sizes="(max-width: 300px) 100vw, 300px" /><noscript><img decoding="async" class="alignnone size-medium wp-image-8161" src="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-graph-300x156.png" alt="time shifting graph" width="300" height="156" srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-graph-300x156.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-graph-768x399.png 768w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-graph-600x311.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-graph.png 867w" sizes="(max-width: 300px) 100vw, 300px" /></noscript></span></p><p><span style="font-weight: 400;">If you want to shift this signal by three, then it will become</span></p><p><span style="font-weight: 400;"><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMDAiIGhlaWdodD0iMTY4IiB2aWV3Qm94PSIwIDAgMzAwIDE2OCI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=" decoding="async" class="alignnone size-medium wp-image-8162" data-src="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-300x168.png" alt="time shifting" width="300" height="168" data-srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-300x168.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-768x429.png 768w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-600x336.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting.png 794w" data-sizes="(max-width: 300px) 100vw, 300px" /><noscript><img decoding="async" class="alignnone size-medium wp-image-8162" src="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-300x168.png" alt="time shifting" width="300" height="168" srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-300x168.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-768x429.png 768w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting-600x336.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-shifting.png 794w" sizes="(max-width: 300px) 100vw, 300px" /></noscript></span></p><p><span style="font-weight: 400;">The signal above is shifted towards the </span><b>right,</b><span style="font-weight: 400;"> which means that the signal is </span><b>delayed</b><span style="font-weight: 400;">. If the time shift is </span><b>negative,</b><span style="font-weight: 400;"> then the signal will shift towards the </span><b>left,</b><span style="font-weight: 400;"> i.e., the signal will </span><b>advance</b><span style="font-weight: 400;">. Note that the amplitude and the dimensions of the signal are the same; only the origin has changed in time-shifting.  </span></p><ul><li style="font-weight: 400;"><span style="font-weight: 400;">Time Scaling: </span><span style="font-size: 1rem;">The compression and expansion of a signal along the horizontal axis is known as time-scaling. This can be done by multiplying the time component of the signal with a constant number. If the number is greater than 1 then the signal will compress. If the number is less than 1, then the signal will expand. The figure below shows the compression and expansion of the signals. </span></li></ul><p><span style="font-weight: 400;"><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMDAiIGhlaWdodD0iMTc5IiB2aWV3Qm94PSIwIDAgMzAwIDE3OSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=" decoding="async" class="alignnone size-medium wp-image-8163" data-src="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-scaling-300x179.png" alt="time scaling" width="300" height="179" data-srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-scaling-300x179.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-scaling-1024x610.png 1024w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-scaling-768x457.png 768w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-scaling-600x357.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-scaling.png 1298w" data-sizes="(max-width: 300px) 100vw, 300px" /><noscript><img decoding="async" class="alignnone size-medium wp-image-8163" src="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-scaling-300x179.png" alt="time scaling" width="300" height="179" srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-scaling-300x179.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-scaling-1024x610.png 1024w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-scaling-768x457.png 768w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-scaling-600x357.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-scaling.png 1298w" sizes="(max-width: 300px) 100vw, 300px" /></noscript></span></p><p><span style="font-weight: 400;">Note that the amplitude of the signal is the same along with the axis. The signal will get slow as it gets wider and will become fast when it is compressed. Slow and fast refers to the frequency of the signal, i.e., slow signals have low frequency, and fast signals have a high frequency.</span></p><ul><li style="font-weight: 400;"><span style="font-weight: 400;">Time Inversion : </span><span style="font-size: 1rem;">If we flip the signal on the y-axis, it becomes inverted; this process is known to be time inversion of a signal. The inverted signal is the mirror image of the original signal, and there is no change in the amplitude or the dimensions of the image. The image below shows the original and the inverted sine signal</span></li></ul><p><span style="font-weight: 400;"><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMDAiIGhlaWdodD0iMjQ5IiB2aWV3Qm94PSIwIDAgMzAwIDI0OSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=" decoding="async" class="alignnone size-medium wp-image-8164" data-src="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-inversion-300x249.png" alt="time inversion" width="300" height="249" data-srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-inversion-300x249.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-inversion.png 496w" data-sizes="(max-width: 300px) 100vw, 300px" /><noscript><img decoding="async" class="alignnone size-medium wp-image-8164" src="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-inversion-300x249.png" alt="time inversion" width="300" height="249" srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/time-inversion-300x249.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/time-inversion.png 496w" sizes="(max-width: 300px) 100vw, 300px" /></noscript></span></p><p><span style="font-weight: 400;">Time inversion can be considered as a special case of time scaling in which we scale the signal by </span><b>-1</b><span style="font-weight: 400;">. Remember that time inversion and time reversal are different operations. In time-reversal, the signal is replicated in the opposite direction on the x-axis. </span></p><p><span style="font-weight: 400;">All these time-domain operations can be performed on the frequency domain and amplitude as well. For example, amplitude scaling will work the same way except that it will only affect the amplitude axis and not the time. </span></p><ul><li style="font-weight: 400;"><span style="font-weight: 400;">Multiplication : </span><span style="font-weight: 400;">Multiplication of the signal is similar to the addition <a href="https://www.ssla.co.uk/referral">technique</a>. In multiplication, the parent signal is multiplied with the amplitude of the other signal at every instant. If parent signal is X</span><span style="font-weight: 400;">1</span><span style="font-weight: 400;">(t) and the other is X</span><span style="font-weight: 400;">2</span><span style="font-weight: 400;">(t), then the resultant will be denoted by</span></li></ul><p><b>Output = X</b><b>1</b><b>(t) X</b><b>2</b><b>(t)</b></p><p><span style="font-weight: 400;"><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMDAiIGhlaWdodD0iMjQxIiB2aWV3Qm94PSIwIDAgMzAwIDI0MSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=" decoding="async" class="alignnone size-medium wp-image-8165" data-src="https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-300x241.png" alt="signal multiplication" width="300" height="241" data-srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-300x241.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-600x481.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication.png 662w" data-sizes="(max-width: 300px) 100vw, 300px" /><noscript><img decoding="async" class="alignnone size-medium wp-image-8165" src="https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-300x241.png" alt="signal multiplication" width="300" height="241" srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-300x241.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-600x481.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication.png 662w" sizes="(max-width: 300px) 100vw, 300px" /></noscript></span></p><p><span style="font-weight: 400;">The figure shows the multiplication of two signals that were used in the previous example. The resultant has the same amplitude because the waves had a magnitude of 1. If the waves have amplitude &gt; 1, then you can observe the change in amplitude as well. The figure below shows the change in amplitude.</span></p><p><span style="font-weight: 400;"><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMDAiIGhlaWdodD0iMjY3IiB2aWV3Qm94PSIwIDAgMzAwIDI2NyI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=" decoding="async" class="alignnone size-medium wp-image-8167" data-src="https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-graph-300x267.png" alt="signal multiplication graph" width="300" height="267" data-srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-graph-300x267.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-graph-600x533.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-graph.png 640w" data-sizes="(max-width: 300px) 100vw, 300px" /><noscript><img decoding="async" class="alignnone size-medium wp-image-8167" src="https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-graph-300x267.png" alt="signal multiplication graph" width="300" height="267" srcset="https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-graph-300x267.png 300w, https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-graph-600x533.png 600w, https://www.ssla.co.uk/wp-content/uploads/2020/09/signal-multiplication-graph.png 640w" sizes="(max-width: 300px) 100vw, 300px" /></noscript></span></p><p><span style="font-weight: 400;">Note that the amplitude of the resultant wave has changed because the square wave has a magnitude of 4. </span></p><p>Read more about <a href="https://en.wikipedia.org/wiki/Signal_processing">this</a></p></div></div></div></div></div></div></div></div></div></div></div></section></div></div></main><div id="contact_footer"><div><h2>Refer our IoT solution and Earn with us</h2><p>Contact us and one of our specialist will call you back</p>
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