Nyquist Sampling Theorem

• In order for a bandlimited signal (one with a frequency spectrum that lies between 0 and $f_{\mbox{max}}$) to be reconstructed fully, it must be sampled at a rate of $f_s > 2f_{\mbox{max}}$, called the Nyquist frequency.
• Half the sampling rate, i.e. the highest frequency component which can be accurately represented, is referred to as the Nyquist limit.
• No information is lost if a signal is sampled above the Nyquist frequency, and no additional information is gained by sampling faster than this rate.
• Is compact disk quality audio, with a sampling rate of 44,100 Hz, then sufficient for our needs?