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PWM frequency and resolution

I'm using this PWM setup:

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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);
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

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.

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