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System object: phased.ElementDelay
Package: phased

Calculate delay for elements


TAU = step(H,ANG)



Starting in R2016b, instead of using the step method to perform the operation defined by the System object™, you can call the object with arguments, as if it were a function. For example, y = step(obj,x) and y = obj(x) perform equivalent operations.

TAU = step(H,ANG) returns the delay TAU of each element relative to the array’s phase center for the signal incident directions specified by ANG.


The object performs an initialization the first time the object is executed. This initialization locks nontunable properties and input specifications, such as dimensions, complexity, and data type of the input data. If you change a nontunable property or an input specification, the System object issues an error. To change nontunable properties or inputs, you must first call the release method to unlock the object.

Input Arguments


Element delay object.


Signal incident directions in degrees. ANG can be either a 2-by-M matrix or a row vector of length M. This argument can be single or double precision.

If ANG is a 2-by-M matrix, each column of the matrix specifies the direction in the form [azimuth; elevation]. The azimuth angle must be between –180 and 180 degrees, inclusive. The elevation angle must be between –90 and 90 degrees, inclusive.

If ANG is a row vector of length M, each element specifies a direction’s azimuth angle. In this case, the corresponding elevation angle is assumed to be 0.

Output Arguments


Delay in seconds.TAU is an N-by-M matrix, where N is the number of elements in the array. Each column of TAU contains the delays of the array elements for the corresponding direction specified in ANG. This argument can be single or double precision.


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Calculate the element delay for a uniform linear array when the input is impinging on the array from 30° azimuth and 20° elevation.

Note: This example runs only in R2016b or later. If you are using an earlier release, replace each call to the function with the equivalent step syntax. For example, replace myObject(x) with step(myObject,x).

array = phased.ULA('NumElements',4);
delay = phased.ElementDelay('SensorArray',array);
tau = delay([30;20])
tau = 4×1
10-8 ×