A particular, frequency-domain sequence of +1 and -1 as follows:
$X=[-1, -1, +1, +1, +1, +1, +1, +1, +1, -1, +1, -1, -1, +1, +1, -1, -1, -1, +1, +1, -1, -1, -1, -1, +1, -1, +1, -1, +1, -1, -1, +1]$
is being transformed to the time-domain and transmitted over a wireless channel. It was stated that if $X$ is phase shifted i.e. multiplied by the following sequence
$w= [1, j,-1,-j,1, j,-1,-j,1, j,-1,-j,1, j,-1,-j,1, j,-1,-j,1, j,-1,-j..]$
The resulting time-domain sequence would have a lower peak to average power ratio.
Can anyone tell me why?