Sentence examples for length of the prototype from inspiring English sources

The length of the prototype filter is KM, with K being the overlapping factor and M the number of subcarriers.

where is the time length of the prototype filter bank, is the Fourier transform of and is described as (51).

This structure is based on an FFT whose size is the length of the prototype filter and, then, the data samples are spread over several carriers.

Then, under the assumption that the CFO is sufficiently small within a time comparable with the length of the prototype filter, it results that (18).

In other words, the length of the long training should be at least equal to the length of the prototype filter.

Finally, if the length of the prototype filter increases with the number of subbands, an increase in the subband level will not deteriorate the performance.

In [24], other lengths of the prototype filter, close to, are explored.

However, the length for the prototype increased to 40 m.

where L g is the length in samples of the prototype filter (i.e., the shaping pulse g[m]).

To this end, we first consider the term (gamma ^{k',n'}_{k,n}(l,mu _{0},tau _{0})) in (18), whose definition includes a summation over the length (pretty large) of the prototype filter p[m].

To implement a circular convolution with a prototype filter g of length L=K M=D+1, we introduce a pulse shaping filter denoted g ~, obtained by the periodic repetition of duration KM of the prototype filter g, i.e., g ~ [ k ] = g [ mod ( k, MK ) ].