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举个例子,假设一个信号的带宽和最高信号频率 B=100Hz。根据采样定理,采样率需要大于200Hz.采样率是200Hz的时候 β = 1。当采样率为此4倍的时候(β = 4),也就是800Hz的采样率。它可以给消锯齿滤波器600Hz的富余过渡带宽((fs?B) ? B = (800 Hz?100 Hz) ? 100 Hz = 600 Hz)
有600Hz带宽富余的抗锯齿滤波器比0Hz(需要一个理想的滤波器)更容易实现。如果采样率达到带宽8倍也就是1400Hz的时候,这意味着抗锯齿滤波器有更大的富余带宽,这样可以更低成本的实现这个滤波器。
另外还有互调失真的影响,需要更高的采样率
http://en.wikipedia.org/wiki/Sampling_(signal_processing)
Sampling rate
When it is necessary to capture audio covering the entire 20–20,000 Hz range of human hearing, such as when recording music or many types of acoustic events, audio waveforms are typically sampled at 44.1 kHz (CD), 48 kHz (professional audio), or 96 kHz. The approximately double-rate requirement is a consequence of the Nyquist theorem.
There has been an industry trend towards sampling rates well beyond the basic requirements; 96 kHz and even 192 kHz are available.[1] This is in contrast with laboratory experiments, which have failed to show that ultrasonic frequencies are audible to human observers; however in some cases ultrasonic sounds do interact with and modulate the audible part of the frequency spectrum (intermodulation distortion). It is noteworthy that intermodulation distortion is not present in the live audio and so it represents an artificial coloration to the live sound.[2]
One advantage of higher sampling rates is that they can relax the low-pass filter design requirements for ADCs and DACs, but with modern oversampling sigma-delta converters this advantage is less important.
How to avoid Aliasing Intermodulation Distortion (AID) The invisible distortion in digital audio
http://www.digitalaudio.dk/media/4aid.pdf |
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