Inverse DST VI

Owning Palette: Transforms VIs

Requires: Full Development System

Computes the inverse Discrete Sine Transform (DST) of the input sequence DST {X}. Wire data to the DST {X} input to determine the polymorphic instance to use or manually select the instance.

Details  

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Select an instance 1D Inverse DST2D Inverse DST

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1D Inverse DST

	DST {X} is the real input sequence.
	X is the inverse DST of DST {X}.
	error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

2D Inverse DST

	DST {X} is the real input sequence.
	X is the inverse DST of DST {X}.
	error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

Inverse DST Details

1D Inverse DST

If y represents the input sequence DST {X}, the one-dimensional inverse Discrete Sine Transform of y is defined as:

where N is the length of DST {X}, y_k is the k^th element of DST {X}, and x_n is the n^th element of the output sequence X. This VI applies a fast inverse DST algorithm instead of calculating the inverse Discrete Sine Transform directly. LabVIEW implements the fast inverse DST algorithm using an FFT-based technique.

2D Inverse DST

If y represents the input matrix DST {X}, the two-dimensional inverse Discrete Sine Transform of y is defined as:

where M and N are the number of rows and columns, respectively, of DST {X}. x_{(m, n)} is the element of the output matrix X with row number m and column number n. y_(u,v) is the element of DST {X} with row number u and column number v. This VI performs a two-dimensional inverse DST using the following two steps:

1. Perform a one-dimensional inverse DST row-by-row on DST {X}. The output is Y'.
2. Perform a one-dimensional inverse DST column-by-column on Y'. The output is X.