How does raised cosine pulse shaping work in MATLAB?

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Tianjia
Tianjia am 20 Apr. 2023
Kommentiert: Vinayak am 25 Apr. 2023
I know that Raised Cosine Filter is creating a low-pass Nyquist filter that transforms a stream of discrete bits into analog waveforms.
I'm confused about the parameters in MATLAB's rasied cosine filter. I know that the impulse of the filter needs to be truncated because it's infinite. But I think the filter should have a length of Filter span in symbols? The MathWorks website says the filter has a length of Output samples per symbol * Filter span in symbols +1. I am a bit confused how Output samples per symbol is involved in the length of the filter.
Also, if the filter has a length of L, and the stream of bits have a length of N, then convolution between this two arrays should have a length of N+L-1 right? but I noticed that the output waveform of raised cosine filter has a length of N*Output samples per symbol. Why is that? Does MATLAB generate an impulse response and do convolution?
New to signal modulation, any hint is appreciated!
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Vinayak
Vinayak am 25 Apr. 2023
In Raised cosine filtering the length of the output waveform is determined by length of the input symbol and the rate of oversampling of the output symbol i.e. N * Output symbols per symbol.
Moreover, Raised cosine filtering is a "finite response filter" which means that the filter response is subjected only to a fixed length and this length in turn depends upon the filter span and number of output symbols per symbol.

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