Convolution including $\delta(t-5)$

1. What is convolution with Delta function?
2. What is convolution of two signals?
3. How do you find the impulse response of a system?
4. What is impulse response of a system?

What is convolution with Delta function?

Convolving a signal with the delta function leaves the signal unchanged. This is the goal of systems that transmit or store signals. b. Amplification & Attenuation Increasing or decreasing the amplitude of the delta function forms an impulse response that amplifies or attenuates, respectively.

What is 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 find the impulse response of a system?

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).

What is impulse response of a system?

In signal processing and control theory, the impulse response, or impulse response function (IRF), of a dynamic system is its output when presented with a brief input signal, called an impulse (δ(t)). More generally, an impulse response is the reaction of any dynamic system in response to some external change.