Which of the following is the best conceptual definition of one dimensional convolution?1 point“Inverting” of a shape, where the inversion matches a feature.“Distortion” of one signal, according to the feature shape“Intertwining” of two signals, where one wraps around the other to form a feature.“Sliding” of two signals, where a matched feature gives a high value of convolution
Question
Which of the following is the best conceptual definition of one dimensional convolution?1 point“Inverting” of a shape, where the inversion matches a feature.“Distortion” of one signal, according to the feature shape“Intertwining” of two signals, where one wraps around the other to form a feature.“Sliding” of two signals, where a matched feature gives a high value of convolution
Solution
The best conceptual definition of one-dimensional convolution is "Sliding" of two signals, where a matched feature gives a high value of convolution.
Here's a step-by-step explanation:
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Convolution is a mathematical operation that is a special kind of linear operation.
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In one-dimensional convolution, we have two signals. One is the input signal and the other one is the filter or kernel which we slide over the input signal.
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The kernel is flipped and then slid over the input signal. For every position, we calculate the element-wise multiplication of the kernel and the part of the input it currently covers and sum them up.
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This sum is the output of the convolution for the current position of the kernel on the input.
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The kernel is then slid over the entire input signal, calculating the sum for each position.
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The result is a new signal which is typically of different size than the input signal.
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The output signal will have high values at places where the input signal and the kernel matched well. This is why the definition says "where a matched feature gives a high value of convolution".
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