Is $y[k] = y[k-1] + x[k]$ an integrator?

1. What does integrator do?
2. What is discrete-time integrator in Matlab?
3. What is Z transform in signals and systems?

What does integrator do?

An integrator in measurement and control applications is an element whose output signal is the time integral of its input signal. It accumulates the input quantity over a defined time to produce a representative output. Integration is an important part of many engineering and scientific applications.

What is discrete-time integrator in Matlab?

The Discrete-Time Integrator block allows you to. Define initial conditions on the block dialog box or as input to the block. Output the block state. Define upper and lower limits on the integral. Reset the state depending on an additional reset input.

What is Z transform in signals and systems?

Definition of Z-Transform

In mathematics and signal processing, the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex frequency-domain representation. Also, it can be considered as a discrete-time equivalent of the Laplace transform.