vsip_dconvolve1d_p - Perform 1D Convolution

Core

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While our Core implementation implements all functions given in the standard we are still working on completing this documentation.

Please refer to the VSIPL standard for a complete function reference of the Core profile until we have completed work on this documentation.

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5.2.4 vsip_dconvolve1d_p - Perform 1D Convolution

void vsip_convolve1d_f(const vsip_conv1d_f *conv, const vsip_vview_f *x, const vsip_vview_f *y);

Description

This function performs one-dimensional convolution between an input signal $x$ and the impulse response (filter kernel) stored in the convolution object, storing the result in the output vector $y$ . The convolution operation computes:

yn= ∑︁ hn·xn-k k

where $h$ is the impulse response stored in the convolution object, and $x$ is the input signal.

Parameters

const vsip_dconv1d_p* conv: Pointer to the 1D convolution object created with vsip_dconv1d_create_p .
const vsip_dvview_p* x: Input signal vector of length $n$ (as specified when creating the convolution object).
const vsip_dvview_p* y: Output convolution vector. Its length depends on the support region specified on the creation of the convolution object:
- VSIP_SUPPORT_FULL: Full convolution. Output length is $⌊(n+ m -2)/d⌋+ 1$
- VSIP_SUPPORT_SAME: Same-length output. Output length is $⌊(n-1)/d⌋+1$
- VSIP_SUPPORT_MIN: Minimum-length output. Output length is $⌊(n -1)/d ⌋-⌊(m -1)/d⌋+1$

Notes

The input vector $x$ must have length $n$ as specified when creating the convolution object.
The output vector $y$ must have the appropriate length based on the support region (see Parameters section).
The convolution object can be reused for multiple convolution operations with different input signals.

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