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The peak algebra Pn is a unital subalgebra of the symmetric group algebra,
linearly spanned by sums of permutations with a common set of peaks. By exploiting
the combinatorics of sparse subsets of [...
THE PEAK ALGEBRA AND THE DESCENT ALGEBRAS OF TYPES B AND D
peak algebra signed permutations Coxeter groups
2015/8/14
We show the existence of a unital subalgebra Pn of the symmetric group
algebra linearly spanned by sums of permutations with a common peak set, which we
call the peak algebra. We show that Pn is the...
Comparison of peak and RMS gains for discrete-time systems
Discrete time system the peak more income signal function
2015/8/13
A convolution system can have a frequency response which is small for all frequencies, yet still greatly amplify the peaks of signals passing through it. For finite-dimensional systems, the authors es...
On computing the worst-case peak gain of linear systems
SISO discrete-time LTI systems computation of `1-gain discrete-time systems with diagonal perturbations worst-case `1-gain.
2015/8/12
Based on the bounds in the paper by Boyd and Doyle (Comparison of peak and RMS gains for discrete-time systems, Systems and Control Letters, 9:1-6), we present simple upper and lower bounds for the el...
On the Noncoherent Capacity of Doubly Selective Rician-Fading Channels under Peak-Power Constraint
Noncoherent Capacity Doubly Selective Rician-Fading Channels Peak-Power Constraint
2010/11/19
Upper and lower bounds are derived for the noncoherent capacity of Rician fading channel with time and frequency memory and constrained peak and average power. The peak power limitation is applied in...