To capture everything, you need to sample twice the maximum frequency
The bit rate determines how many bits are transmitted per second, which is calculated as the product of the number of samples per second and the bits per sample. The bit rate is related to the network throughput. To illustrate, consider the following bitrate examples: for audio, the CD bitrate is calculated as 44.1 KHz sampling frequency and 16 bits quantization, resulting in a bit-rate of 705.6 Kb/s per channel. As the sampling rate increases, the bit rate also increases. Similarly, as the number of quantization bits used increases, the bit rate also increases.
Linear Time Invariant
Let us consider a multimedia system
Then if and , then
The Fourier Transform of a signal represented by describes how the energy of is distributed among frequencies . If the highest frequency in is , we say is Band-Limited to . A filter is an operator that can be characterized by its frequency response, . The Fourier Transform of is . Therefore, the band of is less than or equal to the band of the filter. Filters can be low-pass, band-pass, or high-pass.
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