Impulse response from difference equation without partial fractions

1. How do you find the impulse response of a difference equation?
2. How do you calculate impulse response in DSP?
3. How do you find impulse response from system function?
4. How do you find the impulse response of a discrete system?

How do you find the impulse response of a difference equation?

Given the system equation, you can find the impulse response just by feeding x[n] = δ[n] into the system.

How do you calculate impulse response in DSP?

If we set x[n] = δ[n], then the output y[n] will be the response of the system to an impulse, or simply, the "Impulse Response".

How do you find impulse response from system function?

Key Concept: The impulse response of a system is given by the transfer function. If the transfer function of a system is given by H(s), then the impulse response of a system is given by h(t) where h(t) is the inverse Laplace Transform of H(s).

How do you find the impulse response of a discrete system?

The impulse response of a discrete-time system is defined as the response of a discrete-time system when the input is a delta pulse, thus x[n]=δ[n] x [ n ] = δ [ n ] .