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We propose a new complex block floating-point format to reduce implementationcomplexity. The new format achieves wordlength reduction by sharing an exponentacross the block of samples, and uses box encoding for the shared exponent toreduce quantization error. Arithmetic operations are performed on blocks ofsamples at time, which can also reduce implementation complexity. For a casestudy of a baseband quadrature amplitude modulation (QAM) transmitter andreceiver, we quantify the tradeoffs in signal quality vs. implementationcomplexity using the new approach to represent IQ samples. Signal quality ismeasured using error vector magnitude (EVM) in the receiver, and implementationcomplexity is measured in terms of arithmetic complexity as well as memoryallocation and memory input/output rates. The primary contributions of thispaper are (1) a complex block floating-point format with box encoding of theshared exponent to reduce quantization error, (2) arithmetic operations usingthe new complex block floating-point format, and (3) a QAM transceiver casestudy to quantify signal quality vs. implementation complexity tradeoffs usingthe new format and arithmetic operations.

Complex Block Floating-Point Format with Box Encoding For Wordlength Reduction in Communication Systems