The MWC can operate with as few as p = 2N channels and with a sampling rate fs = 1/T > B on each channel,so that it approaches the minimal rate of 2NB Advanced configurations enable additional hardware savings bycollapsing the number of branches p by a factor of q at the expense of increasing the sampling rate of each channelby the same factor [109] The choice of periodic functions pi(t) is flexible: The highest Dirac frequency needsto exceed In principle, any periodic function with high-speed transitions within the period T can satisfythis One possible choice for pi(t) is a sign-alternating function, with M = 2L + 1 sign intervalswithin the period T [109, 161] Imperfect sign alternations are allowed as long as periodicity is maintained [9]This property is crucial since precise sign alternations at high speeds are extremely difficult to maintain, whereassimple hardware wirings ensure that pi(t) = pi(t + Tp) for every t 2 R The waveforms pi(t) need low mutualcorrelation in order to capture different mixtures of the Popular binary patterns, , the Gold or Kasamisequences, are especially suitable for the MWC [161] Another important practical design aspect is that the lowpassfilter h(t) does not have to be A nonflat frequency response can be compensated for in the digital domain,using the algorithm developed in [162]