Multidimensional Digital Signal Processing
Multidimensional Digital Signal Processing
Multidimensional causality and passivity of linear and nonlinear systems arising from physics
Multidimensional Systems and Signal Processing
Multidimensional Systems and Signal Processing
IEEE Transactions on Circuits and Systems Part I: Regular Papers - Special section on 2009 IEEE system-on-chip conference
Efficient 2-D DOA estimation for coherent sources with a sparse acoustic vector-sensor array
Multidimensional Systems and Signal Processing
Extending the concept of IIR filtering to array processing using approximate spatial IIR structure
Multidimensional Systems and Signal Processing
Synthesis and array processor realization of a 2-D IIR beam filter for wireless applications
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Multidimensional Systems and Signal Processing
2D space---time wave-digital multi-fan filter banks for signals consisting of multiple plane waves
Multidimensional Systems and Signal Processing
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A beamforming system based on two-dimensional (2-D) spatially bandpass infinite impulse response (IIR) plane wave filtering is presented in a multi-dimensional signal processing perspective and the implementation details are discussed. Real-time implementation of such beamforming systems requires modeling of computational electromagnetics for the antennas, radio frequency (RF) analog design aspects for low-noise amplifiers (LNAs), mixed-signal aspects for signal quantization and sampling and finally, digital architectures for the spatially bandpass plane wave filters proposed in Joshi et al. (IEEE Trans Very Large Scale Integr Syst 20(12):2241---2254, 2012). Multi-dimensional spatio-temporal spectral properties of down-converted RF plane wave signals are reviewed and derivation of the spatially bandpass filter transfer function is presented. An example of a wideband antipodal Vivaldi antenna is simulated at 1 GHz. Potential RF receiver chains are identified including a design of a tunable combline microstrip bandpass filter with tuning range 0.8---1.1 GHz. The 1st-order sensitivity analysis of the beam filter 2-D $$\mathbf z $$ z -domain transfer function shows that for a 12-bits of fixed-point precision, the maximum percentage error in the 2-D magnitude frequency response due to quantization is as low as $$0.3\,\%$$ 0.3 % . Monte-Carlo simulations are used to study the effect of quantization on the bit error rate (BER) performance of the beamforming system. 5-bit analog to digital converter (ADC) precision with 8-bit internal arithmetic precision provides a gain of approximately 16 dB for a BER of $$10^{-3}$$ 10 - 3 with respect to the no beamforming case. ASIC Synthesis results of the beam filter in 45 nm CMOS verifies a real time operating frequency of 429 MHz.