Please help with this problem about Pulse Width Modulation. Suppose we want to generate a PWM signal to toggle an LED every one milliseconds(1ms), which implies that the LED is on for 1ms and then off for 1ms, repeating this pattern.The processor clock is 16MHz. Assume ARR=3999. Assuming active high, the timer'soutput mode is set as follows: the PWM output is high if the counter is larger than or equalto the content of CCR. The timer is configured as up-counting mode.(1) What is the frequency of timer counter fCK_CNT?(2) What is the value of PSC?(3) What is the duty cycle of PWM signal?(4) What is the value of CRR?

In the intricate world of microcontroller programming, generating Pulse Width Modulation (PWM) signals is a common technique for controlling devices such as LEDs. In this scenario, our objective is to produce a PWM signal with a precise 1ms period, toggling an LED on and off at a frequency of 1kHz. To achieve this, we delve into the configuration of a timer, exploring the intricacies of frequency calculation, prescaler values, and duty cycle determination. Navigate through the parameters of the microcontroller's timer setup, we unravel the steps necessary to orchestrate the desired PWM output, creating a rhythmic dance of light in the microelectronic realm.Frequency of Timer Counter fCK_CNT:The frequency of the timer counter is given by the formula fCK_CNT= fCLK / (PSC+1), where fCLK is the processor clock frequency.Given that , fCLK=16 MHz, and we want a 1ms period, the frequency (fCK_CNT) is kHz.Therefore, fCK_CNT=1 kHz.Value of PSC (Prescaler):The prescaler value (PSC) is determined by rearranging the formula for fCK_CNT: PSC= (fCLK/fCK_CNT)−1.Substituting the values, Duty Cycle of PWM Signal:The duty cycle (D) is the time the signal is high divided by the period, expressed as a percentage. In this case, Value of CCR (Compare Register):The value of the Compare Register (CCR) determines when the PWM output goes high. Since the duty cycle is 50%, CCR will be set to half of the period.CCR=1/2 ms× fCK_CNT=0.5×1kHz=500.In summary:fCK_CNT=1 kHzPSC=15,999Duty Cycle (D) = 50CCR=500