pulsint

Pulse integration

Syntax

Y = pulsint(X)

Y = pulsint(X,METHOD)

Description

Y = pulsint(X) performs video (noncoherent) integration of the pulses in X and returns the integrated output in Y. Each column of X is one pulse.

Y = pulsint(X,METHOD) performs pulse integration using the specified method. METHOD is "coherent" or "noncoherent".

Examples

Noncoherent and Coherent Integration of Pulses

Generate ten pulses of a sinusoid with added Gaussian white noise. Plot the pulse magnitudes.

npulse = 10;
x = repmat(sin(2*pi*(0:99)'/100),1,npulse) + 0.1*randn(100,npulse);

plot(abs(x))
ylabel("Magnitude")
title("Pulses")

Perform noncoherent integration of the pulses. Repeat the computation, but now perform coherent integration. Plot the magnitudes of the integrated pulses

yn = pulsint(x);

subplot(2,1,1)
plot(abs(yn))
ylabel("Magnitude")
title("Noncoherent Integrated Pulse")

yc = pulsint(x,"coherent");

subplot(2,1,2)
plot(abs(yc))
ylabel("Magnitude")
title("Coherent Integrated Pulse")

Input Arguments

X — Pulse input data

matrix

Pulse input data, specified as a matrix. Each column of X is one pulse.

Example: sin(pi./[32 32].*(0:2047)')+randn(2048,2)/10

Data Types: double

METHOD — Pulse integration method

"noncoherent" (default) | "coherent"

Pulse integration method, specified as "coherent" or "noncoherent". METHOD is the method used to integrate the pulses in the columns of X. The values are not case sensitive.

Data Types: char | string

Output Arguments

Y — Integrated pulse

column vector

Integrated pulse, returned as an N-by-1 column vector, where N is the number of rows in the input X.

More About

Coherent Integration

Let X_ij denote the (i,j)-th entry of an M-by-N matrix of pulses X.

The coherent integration of the pulses in X is:

$$Y_i={\displaystyle \sum _{j=1}^N{X}_{ij}}$$

Noncoherent (video) Integration

Let X_ij denote the (i,j)-th entry of an M-by-N matrix of pulses X.

The noncoherent (video) integration of the pulses in X is:

$$Y_i=\sqrt{{\displaystyle \sum _{j=1}^N|}{X}_{ij}{|}^2}$$

Extended Capabilities

C/C++ Code Generation

Generate C and C++ code using MATLAB® Coder™.

Usage notes and limitations:

Does not support variable-size inputs.

References

[1] Richards, M. A. Fundamentals of Radar Signal Processing. New York: McGraw-Hill, 2005.

Version History

Introduced in R2011a