Convolution of 2 discrete time signals

1. What is convolution of discrete time signals?
2. What is the convolution of two signals?
3. How do you compute linear convolution of two DT sequences?

What is convolution of discrete time signals?

The Discrete-Time Convolution (DTC) is one of the most important operations in a discrete-time signal analysis. The operation relates the output sequence y(n) of a linear-time invariant (LTI) system, with the input sequence x(n) and the unit sample sequence h(n), as shown in Fig.

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.

How do you compute linear convolution of two DT sequences?

Pad the two original sequences with zeros to length N. Compute the N-point DFT to obtain H[k] and X[k]. Compute the point-wise product: Y [k] = H[k]X[k] k = 0,... (N − 1).