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function seq = lteZadoffChuSeq(R, N)
// This function generates root Zadoff-Chu sequence of complex symbols as per LTE specifications.
//
// Calling sequence
// SEQ = LTEZADOFFCHUSEQ(R, N)
//
// Description
// SEQ = LTEZADOFFCHUSEQ(R, N) generates the Rth root Zadoff-Chu sequence (SEQ)
// of length N.
//
// Examples
// seq1 = lteZadoffChuSeq(2, 3)
// disp(seq1,'seq1')
// //Error should occur because inputs are not co primes
// seq2 = lteZadoffChuSeq(25, 5)
// disp(seq2,'seq2')
//
//
// Bibliography
// 3rd Generation Partnership Project, Technical Specification Group Radio
// Access Network, Evolved Universal Terrestrial Radio Access (E-UTRA),
// Physical channels and modulation, Release 10, 3GPP TS 36.211, v10.0.0,
// 2010-12.
//
// Authors
// Pola Lakshmi Priyanka, IIT Bombay
//*************************************************************************************************************************************//
//Input argument check
[out_a,inp_a]=argn(0)
if inp_a~=2 then
error('comm:lteZadoffChuSeq:Invalid number of input arguments')
end
if out_a>1 then
error('comm:lteZadoffChuSeq:Invalid number of output arguments')
end
// Error Check for input arguments
if(~isscalar(R) | ~or(type(R)==[1 5 8]) | ~isreal(R) | R==%inf | R~=floor(R) | R<=0) then
error('comm:lteZadoffChuSeq: Input argument 1 should be a finite positive integer')
end
if(~isscalar(N) | ~or(type(N)==[1 5 8]) | ~isreal(N) | N==%inf | N~=floor(N) | N<=0 | modulo(N,2)==0) then
error('comm:lteZadoffChuSeq:Input argument 2 is invalid')
end
if(gcd(uint8([R N])) ~= 1) then
error('comm:lteZadoffChuSeq:Both the input arguments should be co primes')
end
m = (0:N-1).';
seq = exp( -complex(0,1) * %pi * R * m.*(m+1) / N );
endfunction
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