Polar transmitter having digital processing block used for adjusting frequency modulating signal for frequency deviation of frequency modulated clock and related method thereof

A polar transmitter, comprising:

• a frequency modulating path, arranged for generating a frequency modulated clock in response to a frequency modulating signal;
• a clock divider, coupled to said frequency modulated clock, said clock divider arranged for generating a down-divided clock;
• and
• a digital processing block, coupled to said down-divided clock, said digital processing block arranged for generating said frequency modulating signal, and receiving a value of deviation possessed by said frequency modulating signal to adjust said frequency modulating signal, wherein said deviation is one of frequency deviation and phase deviation, said frequency modulating signal is adjusted for frequency deviation of said frequency modulated clock, and said frequency deviation of said frequency modulated clock results from said frequency deviation of said frequency modulating signal, wherein said digital processing block uses an interpolator with a weighting factor, said weighting factor is responsive to a carrier frequency and said frequency deviation of said frequency modulated clock, and said weighting factor is derived from rounding an accumulation of a rate conversion ratio.