Method and apparatus for signal transmission and reception

A data communications system for receiving a serialized signal and for substantially recovering an original parallel data set from which said serialized signal is generated, comprising:

• a receiver element for receiving said serialized signal including a test signal component from a transmitter element via a transmission link;
• an inverse rotation element, in communication with said receiver element, for receiving said serialized signal from said receiver element and for wavelet analyzing said serialized signal into a recovered parallel data set;
• and
• a test signal extraction element for extracting said test signal component from said received, serialized signal, wherein said wavelet analysis is the inverse of a wavelet synthesis applied to said original parallel data set in generating said serialized signal.

A communications system, comprising:

• a rotation element for wavelet synthesizing an original parallel data set into a serialized signal;
• a test signal generator for generating a test signal component within said serialized signal;
• a transmitter element, in communication with said rotation element, for transmitting said serialized signal over a transmission link;
• a receiver element for receiving said serialized signal including a test signal component from said transmitter element via said transmission link;
• an inverse rotation element, in communication with said receiver element, for receiving said serialized signal from said receiver element and for wavelet analyzing said serialized signal into a recovered parallel data set;
• and
• a test signal extraction element for extracting said test signal component from said received, serialized signal,
• wherein said wavelet analysis is the inverse of said wavelet synthesis applied to said original parallel data set in generating said serialized signal.