How is discrete time convolution represented?Select one:1. x[n] * h[n]2. x[n] + h[n]3. x[n] + h[n]4. x[n] – h[n]

To represent the discrete time convolution, we typically use the notation that relates two discrete signals or sequences. The correct option for discrete time convolution is:

Correct Answer

1. $x[n] * h[n]$

Explanation

• In discrete time convolution, the notation $*$ symbolizes the operation of convolution between two sequences $x[n]$ and $h[n]$.
• The convolution operation is defined mathematically as: $y[n] = (x * h)[n] = \sum_{m=-\infty}^{\infty} x[m] h[n - m]$
• This expression illustrates how each value of the output sequence $y[n]$ is computed by summing over all products of the inputs $x[m]$ and the reversed and shifted version of $h[n]$.

Thus, option 1 is the representation of discrete time convolution.