How to read RC receiver channels without using pulsein() command with arduino

The keyword you are looking for here is interrupt. What is a pulse but a signal that goes from low to high followed by going from high to low, with some period of time between them?

Instead of sitting there waiting for the pulse to arrive then measuring how long it is, which is essentially what pulseIn() does, you need to attach the signal to an interrupt pin. Then you write an interrupt routine that triggers when the signal changes from one level to another which looks to see what the level actually is.

If the signal has risen from low to high then you record the time it happened. If the signal has fallen from high to low then you look what the time is, and subtract the time you remembered from when the signal rose. That difference is then the width of the pulse, which you can store in an integer to read in your main loop.

If you have a number of signals you want to monitor you might want to look into using the pin change interrupt which allows you to use any pin as an interrupt source.

You may find my answer to another question – Read RC receiver channels using Interrupt instead of PulseIn – useful. It includes the sketch shown below, which is intended for background timing of four RC channels attached to pins A0-A3. See the other answer for further comments about the code, example output, etc.

/*  rcTiming.ino -- JW, 30 November 2015 -- 
 * Uses pin-change interrupts on A0-A4 to time RC pulses
 *
 * Ref: http://arduino.stackexchange.com/questions/18183/read-rc-receiver-channels-using-interrupt-instead-of-pulsein
 *
 */
#include <Streaming.h>
static   byte rcOld;        // Prev. states of inputs
volatile unsigned long rcRises[4]; // times of prev. rising edges
volatile unsigned long rcTimes[4]; // recent pulse lengths
volatile unsigned int  rcChange=0; // Change-counter

// Be sure to call setup_rcTiming() from setup()
void setup_rcTiming() {
  rcOld = 0;
  pinMode(A0, INPUT);  // pin 14, A0, PC0, for pin-change interrupt
  pinMode(A1, INPUT);  // pin 15, A1, PC1, for pin-change interrupt
  pinMode(A2, INPUT);
  pinMode(A3, INPUT);
  PCMSK1 |= 0x0F;       // Four-bit mask for four channels
  PCIFR  |= 0x02;       // clear pin-change interrupts if any
  PCICR  |= 0x02;       // enable pin-change interrupts
}
// Define the service routine for PCI vector 1
ISR(PCINT1_vect) {
  byte rcNew = PINC & 15;   // Get low 4 bits, A0-A3
  byte changes = rcNew^rcOld;   // Notice changed bits
  byte channel = 0;
  unsigned long now = micros(); // micros() is ok in int routine
  while (changes) {
    if ((changes & 1)) {  // Did current channel change?
      if ((rcNew & (1<<channel))) { // Check rising edge
        rcRises[channel] = now;     // Is rising edge
      } else {              // Is falling edge
        rcTimes[channel] = now-rcRises[channel];
      }
    }
    changes >>= 1;      // shift out the done bit
    ++channel;
    ++rcChange;
  }
  rcOld = rcNew;        // Save new state
}

void setup() {
  Serial.begin(115200);
  Serial.println("Starting RC Timing Test");
  setup_rcTiming();
}

void loop() {
  unsigned long rcT[4]; // copy of recent pulse lengths
  unsigned int rcN;
  if (rcChange) {

    // Data is subject to races if interrupted, so off interrupts
    cli();          // Disable interrupts
    rcN = rcChange;
    rcChange = 0;       // Zero the change counter
    rcT[0] = rcTimes[0];
    rcT[1] = rcTimes[1];
    rcT[2] = rcTimes[2];
    rcT[3] = rcTimes[3];
    sei();          // reenable interrupts

    Serial << "t=" << millis() << " " << rcT[0] << " " << rcT[1]
       << " " << rcT[2] << " " << rcT[3] << " " << rcN << endl;
  }
  sei();            // reenable interrupts
}