Given an FIR channel h of length L h, the channel shortening problem roughly amounts to designing a filter w so that the energy in the combined response h⋆w is concentrated in μ < L h contiguous taps.
The aim of this paper is to show that the minimum mean square error (MMSE) channel shortening problem with two different energy constraints, remarkably, lead to the same TEQ coefficients, up to a scaling factor.
Yet, by being finite IR (FIR) filters, all of the proposed TEQs are designed for both FIR and/or infinite IR (IIR) channel shortening which make all of them solve the channel-shortening problems without taking into account the transmission channel models.
In this paper, a specific framework of long FIR channel-shortening problem is studied.
In order to analyze the channel-shortening problem, we propose to approximate the transmission channel with a lower order pole-zero model.
That was one of several songs, dating back to "Stay Schemin," in which Drake put up his dukes and prepared for a fight: the baleful "5AM in Toronto," or his verse on the remix to "Versace" by Migos ("This year I'm eating your food and my table got so many plates on it"), or the joyful flexing on ASAP Rocky's single, the unprintable title of which shortens to "Problems".
Since the findings in these papers show that the unit energy constrained channel shortener equalization resulted in better performance, we have used unit energy constraint for the MIMO channel shortening optimization problem under consideration in this paper.
The optimum solution for the channel shortening equalization problem can be found using one of these constraints: (1) unit tap constraint and (2) unit energy constraint; and the performances under these two criteria were compared for single input single output (SISO and MIMOO channel shortening equalization in [21,22], respectively.
We consider the discrete-time baseband equivalent 2×2 channel shortening equalization problem depicted in Figure 1, where the number of transmitters (M T ) and receivers (M R ) is assumed equal, so that the number of antennas (M) is M=M T =M R =2.
With a perpetual smile on his face, Puckett was a beloved baseball figure whose career was shortened by vision problems.
The Minnesota Timberwolves waived guard Brandon Roy, probably bringing an end to an All-Star career that was shortened by knee problems.
