Dynamic programming methods for designing FIR filters using coefficients -1,0 and +1

Sigma-Delta Modulation Based Digital Filter Design Techniques in FPGA

“…Single-bit design techniques have been studied since the early 80s, having been first reported by [54] and further enhanced by [8,24] and in [2,40]. Recently, new single-bit signal processing techniques have been introduced.…”

Online self-repair of FIR filters

“…One example is signed-power-of-two algebra, which allows multiplication using only shift-and-add operations. [5][6][7] SPT algebra expresses numbers as sums and differences of negative powers of two, often called SPT terms. In general, many equivalent SPT rep-resentations, with a different number of SPT terms, exist for a single number.…”

Performance Estimation for Lowpass Ternary Filters

“…Ternary filters thus differ from SDM based filters in that (i) their impulse responses are usually generated by an optimisation algorithm (such as dynamic programming) and (ii) the reconstruction filter is typically an integrator rather than a comb filter. These two differences can provide significant benefits [1]. The use of optimisation algorithms enables the best possible performance for a given optimisation criterion, and the use of integrators enables very efficient hardware implementations.…”

“…Ternary filters typically have a transversal finite impulse response (FIR) section cascaded with a recursive filter section [1]. The transversal FIR section has an impulse response which is quantised to one of three values (−1, 0, and +1) and the recursive section is usually selected to allow for simple hardware implementation (i.e., it is designed to have no or very few multiplications).…”