Bandwidth constrained communication systems with frequency domain information processing

A bandwidth constrained equalized transport (BCET) communication system, comprising:

• a transmitter that transmits a signal, comprising:
• an error control code (ECC) encoder that appends redundant information onto the signal;
• a pulse-shaping filter that intentionally introduces memory into the signal in the form of inter-symbol interference;
• a multidimensional fast Fourier transform (FFT) processing block;
• a multidimensional inverse FFT processing block;
• and
• a first interleaver;
• a communication channel that transports the signal;
• and
• a receiver that receives the signal, comprising:
• an information-retrieving equalizer;
• a deinterleaver with an ECC decoder;
• and
• a second interleaver;
• wherein:
• the multidimensional FFT processing block and the multidimensional inverse FFT processing block process the signal in a frequency domain;
• the information-retrieving equalizer, the second interleaver, and the deinterleaver with the ECC decoder are joined in an iterative ECC decoding loop;
• the communication system is bandwidth constrained;
• and
• the signal comprises an information rate that is higher than that of a communication system without intentional introduction of the memory at the transmitter.