HRIR and DT Convolution

1. What is meant by discrete convolution?
2. How is discrete time convolution represented?
3. How can we solve discrete time convolution problems?

What is meant by discrete convolution?

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. 1.

How is discrete time convolution represented?

Explanation: Discrete time convolution is represented by x[n]*h[n]. Here x[n] is the input and h[n] is the impulse response.

How can we solve discrete time convolution problems?

How can we solve discrete time convolution problems? Explanation: Discrete time convolution problems are mostly solved by a graphical method, tabular method and matrix method. Even if the graphical method is very popular, the tabular and matrix method is more easy to calculate.