Convolution

Support of the convolution of two rectangular signals

Support of the convolution of two rectangular signals
  1. What is the convolution of two rectangular functions?
  2. What is the convolution of two signals?
  3. Which method can be used determine the convolution between two signals?
  4. How do you find the convolution of two sequences?

What is the convolution of two rectangular functions?

The shaded areas are the overlap areas as a function of the shift, t, and the resulting convolution has a trapezoidal shape. If the rectangular pulses had had equal width, then the convolution would havec simplified to an isosceles triangular shape.

What is the convolution of two signals?

Convolution is a mathematical way of combining two signals to form a third signal. It is the single most important technique in Digital Signal Processing. Using the strategy of impulse decomposition, systems are described by a signal called the impulse response.

Which method can be used determine the convolution between two signals?

Cross Correlation Function

Cross correlation is the measure of similarity between two different signals.

How do you find the convolution of two sequences?

The convolution of two finite sequences is defined by extending the sequences to finitely supported functions on the set of integers. When the sequences are the coefficients of two polynomials, then the coefficients of the ordinary product of the two polynomials are the convolution of the original two sequences.

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