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Each receive channel streamed input echo samples to the delay calculation block, forming an M×1 vector of delayed echo samples as its output.
Thus, for the training phase, there are a total of ℓ=121 echo samples.
Schemes for spatially undersampling the synthetic aperture in along-track direction (a) and additionally selecting echo samples randomly in range direction (b).
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As can be seen from (13), the existing time and phase synchronization errors result not only in a drift of the echo sampling windows which will cause RCM errors but also in the distortion of the azimuth-dependent phase history.
Your ears immediately prick up as echoing samples and unusual noises, including birdsong, kick off the track.
But there's nothing reverential or retro about its approach: it maroons these sounds amid a mass of disconnected, echoing samples – snatches of piano, distorted voices, buzzing electronics – and unexpected beats.
I layered it up with echoing samples from the bath scene of Fear And Loathing In This Las Vegas, where Hunter S Thompson's Attorney (Benicio Del Toro) is losing his mind and screaming in the bath.
Hosken treated and mistreated the work, live and on the fly, supplying echoes, samples out of context and other sound alterations and also smearing on his own sonic debris.
She confronts these themes head-on from the opening moments of the mix, with an ominously echoing sample of the Brooklyn rapper Shyne: "Dear America, I'm only what you made me/ Young, black, and fucking crazy!" But then, as Grant is wont to do, she rises above these weightier matters.
At a time when every Los Angeles beat maker is adding echo to samples and shuffling beats in a continuing shift away from from the old, simple boom bat format, Co. Fee sounds like RZA circa 1997 a hard beat, some synthetics, and a sample from some esoteric source.
Only very recently, measurements of acoustic echoes in samples compressed in diamond anvil cells became possible thanks to the developments in time-resolved pump-probe techniques (laser ultrasonics), both in the nanosecond time scale (Chigarev et al., 2008) and in the picosecond time scale (Decremps et al., 2008).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com