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PWM frequency and resolution

vtrx

I'm using this PWM setup:

    TIM_TimeBaseInitTypeDef TIM_TimeBaseInitStruct;
    TIM_OCInitTypeDef TIM_OCInitStruct;
    GPIO_InitTypeDef GPIO_InitStruct;

    /* Step 1: Initialize TIM2 for PWM  */
    RCC_APB1PeriphClockCmd(RCC_APB1Periph_TIM2, ENABLE);
	
	  TIM_TimeBaseInitStruct.TIM_Prescaler = 0;
    TIM_TimeBaseInitStruct.TIM_Period = 255-1;		
    TIM2->CCR1 = 128;				
    TIM_TimeBaseInitStruct.TIM_ClockDivision = TIM_CKD_DIV1;
    TIM_TimeBaseInitStruct.TIM_CounterMode = TIM_CounterMode_Up;
    TIM_TimeBaseInit(TIM2, &TIM_TimeBaseInitStruct);
    TIM_Cmd(TIM2, ENABLE);	

    // Step 2: Initialize PWM  
    TIM_OCInitStruct.TIM_OCMode = TIM_OCMode_PWM1;
    TIM_OCInitStruct.TIM_OutputState = TIM_OutputState_Enable;
    TIM_OCInitStruct.TIM_OCPolarity = TIM_OCPolarity_High;	
    TIM_OCInitStruct.TIM_Pulse = 0;
    TIM_OC1Init(TIM2, &TIM_OCInitStruct);
    TIM_OC1PreloadConfig(TIM2, TIM_OCPreload_Enable);

    /* Step 5: Initialize GPIOA (PA0) for PWM output  */
    RCC_APB2PeriphClockCmd(RCC_APB2Periph_GPIOA, ENABLE);
    GPIO_InitStruct.GPIO_Pin = GPIO_Pin_0;
    GPIO_InitStruct.GPIO_Mode = GPIO_Mode_AF_PP;
    GPIO_InitStruct.GPIO_Speed = GPIO_Speed_2MHz;
    GPIO_Init(GPIOA, &GPIO_InitStruct);

What frequency is set?

The resolution has to be 8 bits.0 to 255.
If I want to increase the PWM frequency and keep the resolution, how should I proceed?

STM32F103.