Pursuant to the first problem in the fast 1-D convolution series, this problem asks for the fast algorithm to compute the 1-D convolution in its "valid" output shape.

There exists a fast 1-D convolution algorithm way more efficient than MATLAB's built-in conv function invoked in the form conv(u,v,'valid'), and the performance improvement is more pronounced when length(u) and/or length(v) are large. Do you know how? Try it out.

• Previous problem: Fast 1-D Convolution (same shape).