Capacity-based Parameter Optimization of Bandwidth Constrained CPM.
Continuous phase modulation (CPM) is an attractive modulation choice for bandwidth limited systems due to its small side lobes, fast spectral decay and the ability to be noncoherently detected. Furthermore, the constant envelope property of CPM permits highly power efficient amplification. The design of bit-interleaved coded continuous phase modulation is characterized by the code rate, modulation order, modulation index, and pulse shape. This dissertation outlines a methodology for determining the optimal values of these parameters under bandwidth and receiver complexity constraints. The cost function used to drive the optimization is the information-theoretic minimum ratio of energy-per-bit to noise-spectral density found by evaluating the constrained channel capacity. The capacity can be reliably estimated using Monte Carlo integration. A search for optimal parameters is conducted over a range of coded CPM parameters, bandwidth efficiencies, and channels. Results are presented for a system employing a trellis-based coherent detector. To constrain complexity and allow any modulation index to be considered, a soft output differential phase detector has also been developed.
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Channel Coding for Modern Communication Systems
Modulation for Bandwidth Limited Systems
Detector Designs For CPM
Mutual Information as a Performance Measure
Optimization Results for BitInterleaved Coded CPM
4-CPFSK AWGN bandwidth constraint bandwidth eﬃciency BCJR algorithm Bcoded BICCPFSK BICCPM BICM capacity BICM-ID binary CPFSK bit error rate bit-interleaved bit-interleaved coded modulation bps/Hz BPSK channel code Chapter CM capacity code rate coded CPM codeword coherent detection complexity constrained capacity constraint length continuous phase modulation convergence threshold convolutional codes CPM parameters CPM signal deﬁned demodulator diﬀerent spectral eﬃciencies diﬀerential detectors diﬀerential phase detector Eb/N0 in dB encoder energy eﬃciency EXIT charts extrinsic information Figure ﬁrst Fractional out-of-band power function of h Gaussian GFSK GFSK parameters hence input interleaver iterative decoding LDPC codes log2 minimum Eb/N0 required modulation index modulation parameters mutual information nodes optimization output packet type phase detector phase diﬀerence QPSK Rayleigh fading receiver reliable signaling SDDPD sequence Shannon capacity shift keying shown in Fig signiﬁcant simulations Sk+1 SO-SDDPD soft-decision soft-output symbols Tanner graph transfer characteristics trellis turbo codes v-nodes values of h Viterbi algorithm